On Lambda-statistical convergence in random 2-normed space

Abstract

Recently, Mursaleen introduced the concepts of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of Lambda-statistical convergence and Lambda-statistical Cauchy sequences in random 2-normed spaces, where lambda = (lambda(m)) be a non-decreasing sequence of positive numbers tending to infinity such that lambda(m+1) <= lambda(m) + 1, lambda(1) = 1 and prove some theorems. In last section we will give the definition of the Lambda-limit and cluster points and we will show their relation between those classes.